Algebra Examples

$- 3 x^{8} - x^{6} + 5 + 2 x^{5}$

Step 1

Move $5$ .

$- 3 x^{8} - x^{6} + 2 x^{5} + 5$

Step 2

The degree of a polynomial is the highest degree of its terms.

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Step 2.1

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- 3 x^{8} \to 8$

$- x^{6} \to 6$

$2 x^{5} \to 5$

$5 \to 0$

Step 2.2

The largest exponent is the degree of the polynomial.

$8$

Step 3

The leading term in a polynomial is the term with the highest degree.

$- 3 x^{8}$

Step 4

The leading coefficient of a polynomial is the coefficient of the leading term.

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Step 4.1

The leading term in a polynomial is the term with the highest degree.

$- 3 x^{8}$

Step 4.2

The leading coefficient in a polynomial is the coefficient of the leading term.

$- 3$

Step 5

List the results.

Polynomial Degree: $8$

Leading Term: $- 3 x^{8}$

Leading Coefficient: $- 3$